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Finding the Fourth Proportional to 1,123.60, 1,545.96 and 1,097.68

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Solution

The fourth proportional to 1,123.60, 1,545.96 and 1,097.68 is: 1,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.60 : 1,545.96 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,123.60/1,545.96 = 1,097.68/x
  3. Step 3: Cross multiply
    1,123.60x = 1,545.96 × 1,097.68
  4. Step 4: Simplify right side
    1,123.60x = 1,696,969.37
  5. Step 5: Solve for x
    x = 1,696,969.37/1,123.60
  6. Step 6: Final answer
    x = 1,510.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.